AIEEE 2005 Physics Question Paper Mock Test

Out of the following pair, which one does NOT have identical dimensions?

The relation between time $t$ and distance $x$ is $t=a{x}^2+bx$ where $a$ and $b$ are constants. The acceleration is:

A car starting from rest accelerates at the rate $f$ through a distance $S$, then continues at constant speed for time $t$ and then decelerates at the rate $f/2$ to come to rest. If the total distance traversed is $15S$, then:

A particle is moving eastwards with a velocity of $5\text{ m/s}$. In $10\text{ seconds}$ the velocity changes to $5\text{ m/s}$ northwards. The average acceleration in this time is:

A parachutist after bailing out falls $50\text{ m}$ without friction. When parachute opens, it decelerates at $2{\text{ m/s}}^2$. He reaches the ground with a speed of $3\text{ m/s}$. At what height, did he bail out?